Introductory And Intermediate Growth Models - Mplus

Growth Modeling In Multilevel TermsTime point t, individual i (two-level modeling, no clustering):y ti : repeated measures of the outcome, e.g. math achievementa 1ti : time-related variable; e.g. grade 7-10a 2ti : time-varying covariate, e.g. math course takingx i : time-invariant covariate, e.g. grade 7 expectationsTwo-level analysis with individually-varying times of observation andrandom slopes for time-varying covariates:Level 1: y ti = π 0i + π 1i a 1ti + π 2ti a 2ti + e ti , (55)Level 2:π 0i = ß 00 + ß 01 x i + r 0i ,π 1i = ß 10 + ß 11 x i + r 1i , (56)π 2i = ß 20 + ß 21 x i + r 2i .127math7 math8 math9 math10isstvcfemalemothedhomerescrs7crs8 crs9 crs1012864